IM3, UMR CNRS 5149, CC 051
Universite Montpellier II
Place Eugene Bataillon
34095 Montpellier cedex 5, France
email: droniou@math.univ-montp2.fr
Jerome Droniou
Abstract:
We prove that the solution to the regularization of a scalar
conservation law by a fractional power of the Laplacian converges,
as the regularization vanishes, to the entropy solution of the
hyperbolic problem. We also give an error estimate when the initial
condition has bounded variation.
Submitted October 22, 2003. Published November 28, 2003.
Math Subject Classifications: 35L65, 35A35, 35B20.
Key Words: Scalar conservation law, vanishing regularization,
fractal operator, error estimate.
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Jerome Droniou IM3, UMR CNRS 5149, CC 051 Universite Montpellier II Place Eugene Bataillon 34095 Montpellier cedex 5, France email: droniou@math.univ-montp2.fr |
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